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Finding the Fourth Proportional to 1,277.21, 1,915.82 and 844.27

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Solution

The fourth proportional to 1,277.21, 1,915.82 and 844.27 is: 1,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.21 : 1,915.82 = 844.27 : x
  2. Step 2: Convert to fraction form
    1,277.21/1,915.82 = 844.27/x
  3. Step 3: Cross multiply
    1,277.21x = 1,915.82 × 844.27
  4. Step 4: Simplify right side
    1,277.21x = 1,617,469.35
  5. Step 5: Solve for x
    x = 1,617,469.35/1,277.21
  6. Step 6: Final answer
    x = 1,266.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.